Counting chains in the noncrossing partition lattice via the \(W\)-Laplacian

DOI10.1016/j.jalgebra.2022.02.023OpenAlexW3198772726MaRDI QIDQ2132473

Guillaume Chapuy, Theo Douvropoulos

Publication date: 28 April 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.04341

zbMATH Keywords

Artin groupsCoxeter elementsnoncrossing partitionsCoxeter-Catalan combinatorics\(W\)-Laplaciandual braid presentation

Mathematics Subject Classification ID

Group theory and generalizations (20-XX) Associative rings and algebras (16-XX)

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Coxeter factorizations with generalized Jucys–Murphy weights and Matrix‐Tree theorems for reflection groups ⋮ Enumerative combinatorics. Abstracts from the workshop held December 11--17, 2022 ⋮ The diagonal coinvariant ring of a complex reflection group ⋮ Hurwitz numbers for reflection groups. II: Parabolic quasi-Coxeter elements ⋮ On \({\boldsymbol q}\)-Counting of Noncrossing Chains and Parking Functions

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